On the multiobjective control problem

• Autorzy: Kumar P. , Sharma B.

Identyfikatory

DOI

10.1515/jaa-2018-0021

• Języki publikacji: EN

Abstrakty

EN

In this paper, sufficient optimality conditions are established for the multiobjective control problem using efficiency of higher order as a criterion for optimality. The ρ-type 1 invex functionals (taken in pair) of higher order are proposed for the continuous case. Existence of such functionals is confirmed by a numer of examples. It is shown with the help of an example that this class is more general than the existing class of functionals.Weak and strong duality theorems are also derived for a mixed dual in order to relate efficient solutions of higher order for primal and dual problems.

Słowa kluczowe

EN

control problem; efficiency of higher order; generalized invexity of higher order; optimality conditions; duality

PL

problemy sterowania; wydajność wyższego rzędu; warunki optymalności; dualność

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2018
• Tom: Vol. 24, nr 2
• Strony: 223--231
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Kumar P.

• Department of Mathematics, Gargi College, University of Delhi, New Delhi 110049, India

autor

Sharma B.

• Department of Mathematics, University of Delhi, New Delhi 110007, India

Bibliografia

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